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Simplifying x4 + -3x2 = 10x2 Reorder the terms: -3x2 + x4 = 10x2 Solving -3x2 + x4 = 10x2 Solving for variable 'x'. Reorder the terms: -3x2 + -10x2 + x4 = 10x2 + -10x2 Combine like terms: -3x2 + -10x2 = -13x2 -13x2 + x4 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -13x2 + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-13 + x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-13 + x2)' equal to zero and attempt to solve: Simplifying -13 + x2 = 0 Solving -13 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x2 = 0 + 13 x2 = 0 + 13 Combine like terms: 0 + 13 = 13 x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}Solution
x = {0, -3.605551275, 3.605551275}
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